Help me I really need help

What is the slope of a line is parallel to y equals (1/2)x+3

stich3 [128]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

$y = \frac{1}{2}x + 3 \\ equating \: it \: with \: \\y = mx + b \\ slope \: (m) = \frac{1}{2} \\ \because \: \parallel \: lines \: have \: same \: slope \\ \therefore \: slope \: of \: line \: \parallel \: to \: given \: line = \frac{1}{2}$

8 0

3 years ago

Which of the following sets of data would you likely represent with a square matrix?

n200080 [17]

Answer:

B) A racquetball club has a tournament where each member plays every other member and represents the scores in a matrix.

Step-by-step explanation:

A square matrix is where the number of rows is equal to the number of columns like order 2x2, 3x3, 4x4, 5x5 etc.

Given options are:-

A) A shoe salesperson wants to use an augmented matrix to represent the quantity of children’s shoes and adult shoes sold at his store for two days.

It is 2x2 times 2x1 = 2x1 matrix.

B) A racquetball club has a tournament where each member plays every other member and represents the scores in a matrix.

It is 6x1 times 1x6 = 6x6 matrix.

C) A student wants to write a coefficient matrix representing a linear system with two equations and three unknowns.

It is 2x3 times 3x1 = 2x1 matrix

D) A teacher wants to write an augmented matrix representing a linear system with four equations and four unknowns.

It is 4x4 times 4x1 = 4x1 matrix.

Hence option B is correct.

7 0

3 years ago

Read 2 more answers

At a certain coffee shop, all the customers buy a cup of coffee and some also buy a doughnut. The shop owner believes that the n

wolverine [178]

Answer:

(1) The probability that the shop owner sells over 2000 cups of coffee in a week is 0.2514.

(2) The shop owner has no reasonable chance to expect earning a profit more than $300.

(3) The probability that the shop owner will sell a doughnut to more than half of his coffee customers is 0.2611.

Step-by-step explanation:

Let X = number of cups of coffee sold and Y = number of donuts sold.

The random variable X follows a Normal distribution with parameters μ = 320 and σ = 20.

The random variable Y follows a Normal distribution with parameters μ = 150 and σ = 12.

The shop owner opens the shop 6 days a week.

(1)

Compute the probability that the shop owner sells over 2000 cups of coffee in a week as follows:

$P(X>2000)=P(\frac{X-\mu}{\sigma}>\frac{2000-(6\times320)}{6\times20})\\=P(Z>0.67)\\=1-P(Z$

Thus, the probability that the shop owner sells over 2000 cups of coffee in a week is 0.2514.

(2)

The equation representing the profit earned on selling 1 cup of coffee and 1 doughnut in a day is:

P = 0.5X + 0.4Y

Compute the probability that the shop owner earns more than $300 as profit as follows:

$P(Profit>300)=P(\frac{Profit-\mu}{\sigma}>\frac{300-((0.5\times320)+(0.4\times150))}{\sqrt{0.5^{2}(20)^{2}+0.4^{2}(12)^{2}}})\\=P(Z>7.21)\\\approx0$

The probability of earning a profit more then $300 is approximately 0.

Thus, the shop owner has no reasonable chance to expect earning a profit more than $300.

(3)

The expression representing the statement "he'll sell a doughnut to more than half of his coffee customers" is:

Y > 0.5X

Y - 0.5X > 0

Compute the probability of the event (Y - 0.5X > 0) as follows:

$P(Y - 0.5X > 0)=P(\frac{(Y - 0.5X) -\mu}{\sigma}>\frac{0-(150-(0.5\times320}{\sqrt{12^{2}+0.5^{2}20^{2}}})\\=P(Z>0.64)\\=1-P(Z$

Thus, the probability that the shop owner will sell a doughnut to more than half of his coffee customers is 0.2611.

8 0

3 years ago

Which expressions are equivalent to x3x+8x3x?

OLEGan [10]

Answer:

<h2>The answer is 27x</h2>

Step-by-step explanation:

3 0

3 years ago

Find the area of the shape shown below. 3.5 1 2

snow_lady [41]

All you have to do is multiply the 3 numbers together. 3.5x1x2. Your answer is 7

4 0

4 years ago